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Finding the Third Proportional to 48,003.75 and 64,228.50

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Solution

The third proportional to 48,003.75 and 64,228.50 is: 85,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003.75 : 64,228.50 = 64,228.50 : x
  2. Step 2: Convert to fraction form
    48,003.75/64,228.50 = 64,228.50/x
  3. Step 3: Cross multiply
    48,003.75x = 64,228.50 × 64,228.50
  4. Step 4: Simplify right side
    48,003.75x = 4,125,300,212.25
  5. Step 5: Solve for x
    x = 4,125,300,212.25/48,003.75
  6. Step 6: Final answer
    x = 85,937.04

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.